Ask question

Ask question

All categories

2 years ago

14

Steven investigates the amount of damage to the head gaskets on the trucks in his fleet and finds that the damage index depends

on the ambient temperature. He develops the equation y = -
2
3
x + 14 to model the relationship. If the temperature increases 1 degree, what happens to the damage index for the head gasket?
A) It decreases by 14 points.
B) It decreases by 21 points.
C) It decreases by 0.047 points.
D) It decreases by
2
3
of a point.

1 answer:

pshichka [43]2 years ago

8 0

answer- it is D because.2/3 is decrease.

You might be interested in

Please I need help on Fundametal Trigonometric Identities?

svp [43]

Fundamental Trigonometric Identities are listed below:

$sin^{2}$ Θ + $cos^{2}$ Θ = 1
$sec^{2}$ Θ - $tan^{2}$ Θ = 1
$cosec^{2}$ Θ - $cot^{2}$ Θ = 1
sinΘ = 1 / cosec Θ
cos Θ = 1 / sec Θ
tan Θ = 1 / cot Θ
tan Θ = sinΘ / cosΘ
cotΘ = cosΘ / sinΘ

<h3>Meaning of Fundamental Trigonometric Identities</h3>

Fundamental Trigonometric Identities can be defined as the basic identities or variables that can be used to proffer solutions to any problem relating to angles and trigonometry.

In conclusion, A few Fundamental Trigonometric Identities are listed above.

Learn more about Fundamental Trigonometric Identities: brainly.com/question/7331447

#SPJ1

7 0

1 year ago

PLSSSSS HELPPPPPPPPPPPPPPP LOOK AT THE PICTURE

Lera25 [3.4K]

True because the ratios are a comparison of two or more numbers . I think

6 0

2 years ago

A police cruiser approaching a right-angled intersection from the south, is chasing a speeding car that has turned the corner an

vlada-n [284]

Three hours is the answer I think

6 0

2 years ago

Read 2 more answers

Please help as soon as possible

eduard

Answer:

it's 96ft squared hope it helps

4 0

2 years ago

Read 2 more answers

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .

Verify that $(x + 2)\, (x + 3)$ indeed expands to the original polynomial:

$\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}$ .

4 0

2 years ago